treasure searching pirates walked due north for 2 hours through 4 miles of swamp. afterwards, they stopped for an hour of rest before continuing eastward for another 4 hours to cross 5-miles of jungle. calculate the average velocity in miles per hour of the above pirates. do not enter the unit with your answer.

5.29 kg is the mass of 4.87 x 10²⁵ atoms of Zn.

As a measure of inertia, which is a fundamental characteristic of all matter, mass is used in physics. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The symbol for mass is m or M. The force exerted on a mass as a result of the acceleration brought on by gravity is measured as weight. W typically stands for weight.

As, we know

Mass of 1 mole of Zn = 65.38 gm/mole

= (65.38/1000) kg/mole

= 0.06538 kg/mole

We know,1 mole = 6.023 × 10²³ atoms.

Thus, moles of Zn = 4.87 × 10²⁵ / 6.023 × 10²³

= 80.87 moles

Therefore, mass of Zn = 80.87 moles × 0.06538 kg/mole

= 5.287 kg ≈ 5.29 kg

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It does not meet all three criteria to be considered a planet.

What are three criteria to be considered as planet?

They determined that a planet must meet the following three requirements:

According to the question:

I concur with the buddy who says that it should be categorized as a dwarf planet, similar to Pluto, as Pluto is not large enough. Because it is also smaller than the Earth, it does not meet all three criteria to be considered a planet.

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It does not meet all three criteria to be considered a planet.

What are three criteria to be considered as planet?

They determined that a planet must meet the following three requirements:

It must be a body that orbits the Sun independently; as moons orbit planets, they cannot be regarded as planets.

It must possess sufficient mass to be drawn into a roughly spheroidal shape by its own gravity.

To "dominate" its orbit, it must be massive enough (i.e. its mass must be much larger than anything else which crosses its orbit)

I agree with my friend who believes it should be classified as a dwarf planet, comparable to Pluto, because Pluto is insufficiently huge. It does not match all three requirements for being called a planet because it is also smaller than the Earth.

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The gravitational attraction between Tom and Sally is 2.32×10⁻¹⁰ N.

This the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface.

To calculate the gravitational attraction between Tom and Sally, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the gravitational attraction is 2.32×10⁻¹⁰ N.

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The gravitational force exerted on the moon while it is in orbit around the planet is 1×10¹⁹ N

From the question given above, the following data were obtained:

From the above data, we can obtain the gravitational force as illustrated below:

Gravitational field strength (E) = force (F) / mass (M)

E = F / M

0.001 = F / 1×10²²

Cross multiply

F = 0.001 × 1×10²²

F = 1×10¹⁹ N

Thus, from the above calculation, we can conclude that the gravitational force is 1×10¹⁹ N

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The maximum transverse acceleration of a point on a wire is 47410.0839m/sec² having mass of 10g.

Transverse Wave travels from highest point of positive amplitude to negative highest point amplitude. Amplitude is the point where potential energy of wave is highest. Transverse wave travels in definite direction. We have mass=10g=0.001kg,length of wire is 8m,frequency of transverse wave is 570Hz,wavelength =0.10m

Now, we need to transverse wave acceleration, for this we need angular frequency because there is co-relation between transverse wave acceleration and angular frequency.

We know that angular frequency=2πf where f is the angular frequency.

ω=2×π×570

=>ω=2×3.14×570

=>ω=6.28×570

=>ω=3579.6/sec

Now, for acceleration we know that =ω²A where A is the amplitude of the wave.

=>a = (3579.6)²×3.7mm

=>a=((3579.6)²×3.7×1/1000)m/sec²

=>a=[(12813,536.2)×3.7×1]/1000m/sec²

=>a=47410083.8/1000m/sec²

=>a=47410.0839m/sec²

Hence, maximum transverse acceleration is 47410.0839m/sec²

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The enthalpy of vaporization as determined from the different temperatures is  23.6 kJ/mol.

The enthalpy of vaporization has to do  with the heat that is given out when a substances is converted from liquid to vapor under standard conditions.

We can use te formula;

ln(P2/P1) = -ΔHvap/R(1/T2 - 1/T1)

P2 = final pressure

P1 = initial pressure

ΔHvap = enthalpy of vaporization

T2 = final temperature

T1 = initial temperature

Then;

ln(135/24.3) = -ΔHvap/8.314 (1/325 - 1/273)

1.7 =  -ΔHvap/8.314 (0.0031 - 0.0037)

1.7 =  -ΔHvap/8.314 (-0.0006)

1.7 = 0.0006ΔHvap/8.314

To obtain the enthalpy of vaporization here;

ΔHvap = 1.7 * 8.314/0.0006

= 23.6 kJ/mol

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In order to balance the seesaw, John should sit at a distance of 1.7m from the center.

This question can be solved using the concept of moment. in order to balance on the seesaw the moment on the center of seesaw should be zero or in other words

∑M = 0

Now, the moment is expressed by the formula

∑M = F × d

where, ∑M is the Algebraic sum of moments in the center of the balance, M is the moment in the center point ( N*m), F is the Force (N) and d is the distance of the force to the the center point(N*m).

Now, we have

Mass of Anna (M) = 60kg

Mass of John (m) = 70kg

Distance from Anna to the center of the seesaw (dA) = 2m

Distance from John to the center of the seesaw (dJ) = ?

Acceleration due to gravity (g) = 9.8 m/s²

Also, W = mass × g. So, W = Anna's weight and w = John's weight

Now, to find the distance we write the Moment equation as

∑M = 0

(W)(dA) - (W)(dJ) = 0

(M*g)(dA) - (m*g)(dJ) = 0

We divide the equation by g

(M)(dA) - (m)(dJ)= 0

(M)(dA) = (m)(dJ)

dJ = M(dA)/m

dJ = 60×2/70

dJ = 120/70

dJ = 1.7m which is distance of John from center.

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By using Archimedes Principle the Barge will sit at a depth of 0.7203 m

What is Archimedes Principle?

The buoyancy of any floating object partially or totally submerged in a fluid can be computed thanks to Archimedes' principle. The weight of the thing alone exerts a downward force on it. The upward or buoyant force acting on the object is what is meant by the aforementioned Archimedes' principle. The difference between the buoyant force and the object's weight is therefore the net force acting on it. In the event that this net force is positive, the item will rise; in the event that it is negative, the object will sink; and in the event that it is zero, the object will be neutrally buoyant, remaining stationary.

Calculation:

The harbour contains salt water while the river contains fresh water. So assuming that the densities of fresh water and salt water are:

density (salt water) = 1029 kg / [tex]m^3[/tex]

density (fresh water) = 1000 kg / [tex]m^3[/tex]

The amount of water (in mass) displaced by the barge should be equal in two waters.

mass displaced (salt water) = mass displaced (fresh water)

Since mass is also the product of density and volume,

therefore:

[density * volume] of salt water = [density * volume] of fresh water

First we calculate the amount of volume displaced in the harbour (salt water):

V = [tex]3.5 m\ X\ 24.0 m\ X\ 0.70 m[/tex]

V = [tex]58.8 m^3[/tex] of salt water

Plugging in the values into equation 1:

1029 kg /  [tex]m^3[/tex] × 58.8 m^3 = 1000 kg/[tex]m^3[/tex]× Volume fresh water

Volume fresh water displaced = 60.5052 [tex]m^3[/tex]

Therefore the depth of the barge in the river is:

60.5052 [tex]m^3[/tex] = 3.5 m × 24.0 m × h

h = 0.7203 m

By using Archimedes Principle the Barge will sit at a depth of 0.7203 m

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When the source and observer are both moving towards each other, receive frequency will be same.

The change in frequency of a wave in proportion to an observer who is moving relative to the wave source is known as the Doppler effect, Doppler shift, or simply Doppler, depending on the context. It bears the name of the Austrian scientist Christian Doppler, who first characterized it in 1842.

The Doppler effect, also known as the Doppler shift, is a term used to explain changes in frequency caused by moving sources of sound or light with regard to an observer. As the source gets closer to the observer, the waves it is emitting become compressed and have a greater frequency.

Observer and source moving in same direction, then the frequency becomes:

f = (v ± v₀) × f/ [v ± v(s)]

Now, assume observer is behind the source ,source is moving towards observer and observer is moving away from source:

f₁ = (v - v₀) × f/[v - v(s)]

Here, received frequency will be same, thus Doppler effect occur due to relative motion.

Yes , the perceived frequency will be same as the source frequency.

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The forces which acts on a bucket of water when it pulled upward out of a well are:  b) Gravity force  e) Tension force and f) Air resistance force. So, correct listed options are b, e, f.

The forces imparted through a rope, string, or wire while two contradicting forces draw on it is known as Tension force. The pressure force pulls energy similarly on the bodies at the closures and is applied along the whole length of the wire. Gravity force is acted due to gravitational force acted by the gravity on the object.

Each actual article in touch with another applies a force to that item. In view of the sort of articles, names are given to these contact forces. You can allude to strain as one of the powers following up on an item, like a rope, link, or chain.

Hence, correct options are b, e, f.

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(Complete question) is:

Consider this situation: A bucket of water, attached to a rope, is being pulled upward out of a well. Of the forces listed, identify which act upon the bucket.

a. Normal Force

b. Gravity Force

c. Applied Force

d. Friction Force

e. Tension Force ​

f. Air Resistance Force

The rock thrown horizontally at 8.0 m/s from a bridge before it hits the water = 16.15 m.

Free fall motion is a motion that falls from a height without having an initial velocity. As long as the object is falling, air resistance is negligible, its acceleration is constant and the magnitude is equal to the acceleration due to gravity. In addition, the time it takes for an object to fall does not depend on its mass, but depends on its height.

We have,

The velocity of the rock = 8.0 m/s ⇒ v

Fall height of the rock = 20 m ⇒ h

And, to determine  how far does the rock travel horizontally before striking the water, we use the equation:

d = v x t

We have the velocity (v), but don't have the time (t).

So, determine the time first

Use the equation to determine the height:

h = ½ gt²

20 =  ½ (9.8)t²

t² = 4.08

t = [tex]\sqrt{4.08}[/tex]

= 2.01 s

So, the distance the stone traveled before striking to the water:

d = (8.0) (2.01)

= 16.15 m

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The bullet's kinetic energy is 4000N.

What exactly is kinetic energy?

To accelerate an item, we must apply force to it. We must make an attempt to utilise force. When work is done on an item, energy is transferred, and the object then travels at a new, constant speed. The energy conveyed is known as kinetic energy, and it is affected by the mass and speed obtained.

Kinetic energy is defined in physics as follows:

The amount of work an item can do while moving is measured by its kinetic energy.

According to the information provided:

mass=10g=10/1000=0.01kg

Initial velocity=u=200m/s

0 m/s final velocity

S=5cm=5/100=0.05m

Using the third equation of motion: V²-u²=2as

0²-(200) ²=2a*0.05

-40000=a/10

a=-400000m/s²

Newton's Second Law states:

F=ma

=0.01*(-400000)

=-4000N

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Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

What exactly is kinetic energy?

To accelerate an item, we must apply force to it. We must make an attempt to utilise force. When work is done on an item, energy is transferred, and the object then travels at a new, constant speed. The energy conveyed is known as kinetic energy, and it is affected by the mass and speed obtained.

Kinetic energy is defined in physics as follows:

The amount of work an item can do while moving is measured by its kinetic energy.

According to the information provided:

mass=10g=10/1000=0.01kg

Initial velocity=u=200m/s

0 m/s final velocity

S=5cm=5/100=0.05m

Using the third equation of motion: V²-u²=2as

0²-(200) ²=2a*0.05

-40000=a/10

a=-400000m/s²

Newton's Second Law states:

F=ma

=0.01*(-400000)

=-4000N

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The work is done by the force the viscous medium exerts on the object as it falls 85 cm is -26.35 joules.

   The mass of the object is m = 3.1kg

    The speed of fall is v = 2.5 m/s

    The depth of fall is d = 85cm

Now here given that the velocity is constant, then the work energy is zero.

So, work done by the potential energy of the object and that of the viscous liquid we have

      W = Wv + Wp

Where  Wv is work done by viscous liquid and

Wv is the work done by the object

           Wp = mgd

So  

      0  = Wv + mgd

 Wv = -mgd

substituting values

Wv = -3.1x10x85

Wv = 26.35 joules

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The velocity of the rode at the end of the time 4.33 seconds is 42.434 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the velocity at the end of the time is 42.434 m/s.

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The focal length of a camera lens, which is frequently stated in millimeters, is its fundamental description (mm), to the point where light rays converge to form a sharp image of an object.

An optical medium's refractive index, commonly referred to as the refraction index, is a dimensionless statistic that describes how well the medium bends light. Focal length, the amount of light that enters a substance is refracted or bent depends on the substance's refractive index. When a beam travels across the boundary between two media with refractive indices of n1 and n2, its angles of incidence and refraction are, respectively, n1 sin 1 and n2 sin 2, which describe this. The refractive indices determine the critical angle for total internal reflection, the intensity of the reflected light (Fresnel's equations), Brewster's angle, and the volume of light reflected when it reaches the interface. Since the speed of light in a medium is equal to v = c/n and the wavelength in that medium is equal to 0/n, where 0 is the wavelength of that light in vacuum, the refractive index can be thought of as the parameter that lowers those values relative to their vacuum values. This assumes that vacuum has a refractive index of 1, and that the frequency of the wave (f = v/) is unaffected by the refractive index.

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This means that the bumper's spring has a spring constant of     8.89×1058.89×105 N  k=8.889×105N/m

It believes that reality is a subject that can be investigated impartially.The researcher must maintain their independence and distance from the subject under study.Research was value-free; it should not be in any way influenced by the researcher's values.

In general, quantitative research makes the following assumptions:Truth is a phenomenon that can be investigated objectively because it is "out there," objective, and independent of a researcher;

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The  statements that I  think are true are:

Gravity can be described as the force by which a planet or other body draws objects toward its center however the force of gravity keeps all of the planets in orbit around the sun.

It should be noted that Gravity do depends on the material of the objects however the Gravity can not be regrded as force because it can't move objects but can be consdidered as the force because a force is a push or a pull, as it can be seen in hoiw the  moon has less gravity than the Earth because it has less mass than the Earth.

In conclusion, Gravity depends on the material of the objects and it should be noted that Gravity is a force because a force is a push or a pull.

Therefore, option A and C are correct.

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True,  Mechanical energy is chosen because the roller coaster chooses one energy owing to friction and air resistance as it travels down the track.

Mechanical energy is the sum of kinetic energy and potential energy in an object that is used to do some work.

Mechanical energy is chosen because the roller coaster chooses one energy owing to friction and air resistance as it travels down the track. Therefore the given statement is true.

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The distance between the slits and the fringe width are inversely proportional. When the distance between the slits is doubled, the fringe's width is reduced by half.

What diffraction and interference pattern is mixed on the screen?

Diffraction. Interference is described as occurring when waves from two different independent sources have differing wavefronts. Diffraction, on the other hand, is described as secondary waves that split off from the primary wave.

Therefore, each wavelength's waves will produce a different type of interference pattern if white light is employed in Young's experiment instead of monochromatic light. The overall result of all these designs may be seen on the screen. Consequently, the middle white fringe.

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a) The instant that the mass passes through the position where the spring is unstretched, what can be said about its instantaneous acceleration being zero,

c)  The instant that the spring is compressed the most, what can be said about the magnitude of its instantaneous velocity of Speed ​​is Zero

a) the equation that governs the simple harmonic motion is

        x = A cos (wt +φφ)

Where A is the amplitude of the movement, w is the angular velocity, and φ the initial phase determined by the initial condition

Body acceleration is

        a = d²x / dt²

Let's look for the derivatives

        dx / dt = - A w sin (wt + φ)

        a = d²x / dt² = - A w² cos (wt + φ)

In the instant when it is not stretched x = 0

As the spring is released at maximum elongation, φ = 0

           0 = A cos wt

           Cos wt = 0         wt = π / 2

Acceleration is valid for this angle

          a = -A w² cos π/2 = 0

Acceleration is zero

b)

c) When the spring is compressed x = A

Speed ​​is

            v = dx / dt

            v = - A w sin wt

We look for time

           A = A cos wt

           cos wt = 1         wt = 0, π

For this time the speedy vouchers

           v = -A w sin 0 = 0

Speed ​​is cero

Harmonic movement refers to the movement of an oscillating mass studies when the restoring pressure is proportional to the ​displacement, however in contrary directions. Harmonic motion is periodic and may be represented with the aid of a sine wave with regular frequency and amplitude. An example of that is a weight bouncing on a spring. The motion is called harmonic due to the fact musical contraptions make such vibrations that during flip cause corresponding sound waves in the air.

it is a sort of periodic motion with extreme points. simple harmonic motion is an oscillatory motion wherein the particle's acceleration and force are without delay proportional to its displacement from the mean region at every factor. it's miles a special case of oscillatory movement.

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The chronological steps that lead to the observed nova event are as follows:

A nova event is an astronomical event that causes the occurrence of a bright star that slowly fades over time (usually in weeks or months). It's mainly caused by white dwarf stars that are involved in a close binary system.

Attached below is an image of the Nova Eridani in 2009 taken by Kevin Heider.

Your question seems incomplete, but the completed version is most likely as follows:

In a binary-star system that produces a nova, the white dwarf pulls matter from the companion star. The matter forms an accretion disk that orbits the white dwarf. Then a specific sequence of events must take place for a nova event to occur.

Rank the steps leading up to the observed nova event in chronological order from first to last.

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The percentage of the iceberg that is visible above the water's surface will be 11.5% if specific gravity of ice is 0.917.

We know very well that density is defined as the division of mass with per unit volume. It is an important factor in order to find  the fluid and its properties. Its SI.unit is kg/m³.

We know very well that the mass and density relation is given by the formula

mass = density × volume

We are given density of ice = 917 kg/m³,density of the seawater=1025 kg/m³

Therefore, the ratio by which the iceberg submerge is found as

=>[tex]V_s[/tex]/V=ρ/ρ[tex]_o[/tex]

where V and ρ is defined as the volume of the iceberg and ρ is defined as the density of the substance.

=>[tex]V_s[/tex]/V=0.917/1.025

=>[tex]V_s[/tex]/V =917/1025

=>[tex]V_s[/tex]/V=0.895

or we can 89.5% of ice is submerged inside the water.

But we need to find the percentage which is visible to us, it means we need to subtract the submerged percentage from total percentage possible.

⇒The percentage which is visible to us=100-.89.5 %

⇒The percentage which is visible to us=11.55 %

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Answer:

Below

Explanation:

KE = 1/2 mv^2

  soooo   ...

a) doubling m doubles KE
b) doubling 'v' makes KE 4 times greater (because v is v^2)

c) 1/2 *2^2 = double KE

d ) 1/2^2 = 1/4 KE

e)  3 * 1/2^2 = 3/4 KE

Answer:

1.5 m

Explanation:

speed=frequency*wavelength

15=10*wavelength

A bullet that has a mass of 9.81 g traveling at 1769 miles per hour has a wavelength of 0.85 x 10⁻³⁴ m

A physicist "Louis de Broglie" put forward a hypothesis that particles can also be treated as particles as well as waves. Using theoretical concepts from black body radiation, de Broglie showed a relationship expressing momentum with wavelength. This equation is derived from the energy equation for a photon in black body radiation. The energy of a photon is a function of the wavelength of the photon.

The equation is:

λ = h/p

We have,

Mass of the bullet = 9.81 g = 0.00981 kg

v = 1769 mph ⇒ 790.81 ms⁻¹

h =  Planck's constant ⇒ 6.63 x 10⁻³⁴ m²kg⁻¹

Determine the momentum (p) of the bullet first,

P = mv

= (0.00981) (790.81 )

= 7.75 kgms⁻¹

So, the wavelength of the bullet:

λ =  6.63 x 10⁻³⁴ / 7.75

= 0.85 x 10⁻³⁴ m

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The length of the pendulum is  128.57 feet.

The duration of time it takes for any string element to complete an oscillation is known as the time period of an wave oscillation.

The period T (in seconds) of a pendulum is given by: T = 2π√(l/g).

The period is 12.56 seconds.

Acceleration due gravity: g = 32.1741 feet/second².

Hence,  the length of the pendulum be = (T/2π)²g

=  (12.56/2π)²×32.1741 feet

= 128.57 feet.

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Consideration is the element of a legal contract that the insurance premium payments represent.

A legally binding agreement is referred to as a "contract". It consists of five fundamental components:

A party provides another party with consideration when they provide something of value. Each party has committed to respecting the terms of the agreement by exchanging compensation in this manner. Every legal contract must have this component. The initial premium payment is the applicant's consideration for insurance contracts. If a fee is included in the application, coverage could start the day it is filed. The first premium would not become due to the insurer/insurer agent until after the application has been submitted in such case.

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When she pulls her arms in close to her body, the thing that happens to her angular velocity is that When she pulls her arms in, her rate of spin increases significantly, which reduces her moment of inertia. She exerts effort to pull in her arms, which causes rotational kinetic energy to rise.

If there is no net external torque surrounding a location in a fixed inertial reference frame, the angular momentum of the system of particles around that point is conserved:

The overall angular momentum is conserved, as you can see. As long as the aggregate is constant, any one of the constituent angular momenta can change. When there is no external force acting on a system, this equation is equivalent to the conservation of linear momentum.

Therefore, since an ice skater performing a spin as an illustration of the conservation of angular momentum. Because there is hardly any friction between her skates and the ice, the net torque on her is almost nil. Additionally, the friction is applied quite near the pivot.

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The flywheel of a steam engine starts revolving at rest with a constant angular acceleration of 1.47 rad/s2, therefore the wheel has rotated across a total angle of 1709.67 rad after 59.5 seconds.

To answer the question, we write down the flywheel's motion equation as 2 = 1 + t.

Where:

Initial angular velocity for the body is 0 rad/s in equation (1) Initial and final angular velocities

Time is equal to 24.7 seconds and angle acceleration is 1.47 rad/s2.

After entering the values, we discover that 2 2 = 0 + 1.35 rad/s2* 24.7 s = 38.205 rad/s.

Thus, 540.60075 rad + 1169.073 rad = 1709.67375 rad 1709.67 rad is the equation for the total angle the flywheel covered in 59.5 seconds.

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